A 30 kg child runs up a slide of 4 m high in 2 seconds. Calculate his power.
Question
A 30 kg child runs up a slide of 4 m high in 2 seconds. Calculate his power.
Solution
To calculate the power, we first need to find the work done by the child. The work done (W) is given by the formula:
W = m * g * h
where: m = mass of the child = 30 kg g = acceleration due to gravity = 9.8 m/s² h = height of the slide = 4 m
Substituting these values into the formula, we get:
W = 30 kg * 9.8 m/s² * 4 m = 1176 Joules
The power (P) is then given by the formula:
P = W / t
where: W = work done = 1176 Joules t = time taken = 2 seconds
Substituting these values into the formula, we get:
P = 1176 Joules / 2 seconds = 588 Watts
So, the power exerted by the child is 588 Watts.
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